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<div class="title">group.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef _GROUP_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define _GROUP_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#define INFINITE_ORDER  0</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &quot;slp_rep.h&quot;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &quot;gen_rep.h&quot;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &quot;group_elem.h&quot;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &quot;symmetric_rep.h&quot;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;subgroup.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &quot;std_ex.h&quot;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">template</span> &lt; <span class="keyword">typename</span> T, <span class="keyword">template</span> &lt;<span class="keyword">typename</span>&gt; <span class="keyword">class </span>group_rep = <a class="code" href="classcGenRep.html">cGenRep</a> &gt;</div>
<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classcGroup.html">   19</a></span>&#160;<span class="keyword">class </span><a class="code" href="classcGroup.html">cGroup</a> : <span class="keyword">public</span> group_rep&lt;T&gt;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;{</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">typedef</span> T ElementType;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="classcGroup.html">cGroup&lt;T, group_rep&gt;</a> <a class="code" href="classcGroup.html">SelfType</a>;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typedef</span> group_rep&lt;T&gt; RepType;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> std::vector&lt;ElementType&gt; GrpVec;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <a class="code" href="classcGroup.html">cGroup</a>()</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        :group_rep&lt;T&gt;()</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    {};</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <a class="code" href="classcGroup.html">cGroup</a>(std::vector&lt;ElementType&gt; &amp;gr_vec)</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        :group_rep&lt;ElementType&gt; (gr_vec)</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    {};</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="comment">//TODO -- add constructor inheritance in the next gcc release</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="comment">//broken compiler ???</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <a class="code" href="classcGroup.html">cGroup</a> (std::initializer_list&lt;T&gt; ini_list)</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        :group_rep&lt;T&gt;(ini_list)</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    {};</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    ~<a class="code" href="classcGroup.html">cGroup</a>()   {};</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classcGroup.html#acb69bf5f56805920d414a80ac5e54f36">   46</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="classcGroup.html#acb69bf5f56805920d414a80ac5e54f36">isSoluble</a>()<span class="keyword">const</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    };</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classcGroup.html#a5177b0cd3b5a1c6d1dc7673c28fa14f0">   54</a></span>&#160;    <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> <a class="code" href="classcGroup.html#a5177b0cd3b5a1c6d1dc7673c28fa14f0">GetCentralizer</a>(<span class="keyword">const</span> <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> &amp;_subgrp, GrpVec &amp;grp_el)<span class="keyword">const</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> subgroup(<a class="code" href="classcGroup.html#ac0b8279834b59139afeb562be03937de">GetCentralizerEl</a>(_subgrp, grp_el));</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        subgroup.isNormal(<span class="keyword">true</span>);</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">return</span> subgroup;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    };</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classcGroup.html#ade523d25a78970fffa70f17d68643d15">   65</a></span>&#160;    <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> <a class="code" href="classcGroup.html#ade523d25a78970fffa70f17d68643d15">GetCenter</a>(GrpVec &amp;grp_el)<span class="keyword">const</span></div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> subgroup(<a class="code" href="classcGroup.html#aa0946d645c3ae06c56dc16f13a9f7ef2">GetCenterEl</a>(grp_el));</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        subgroup.isNormal(<span class="keyword">true</span>);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> subgroup;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    };</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classcGroup.html#a1bcc2cdb6db5251b23cd099b25ffa057">   75</a></span>&#160;    <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> <a class="code" href="classcGroup.html#a1bcc2cdb6db5251b23cd099b25ffa057">GetNormalizer</a>(<span class="keyword">const</span> <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> &amp;_subgrp)<span class="keyword">const</span></div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> subgroup(<a class="code" href="classcGroup.html#a442a90478046593d38f5d131eb22b9a9">GetNormalizerEl</a>(_subgrp));</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        subgroup.isNormal(<span class="keyword">true</span>);</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">return</span> subgroup;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    };</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classcGroup.html#ac0b8279834b59139afeb562be03937de">   85</a></span>&#160;    std::vector&lt;ElementType&gt; <a class="code" href="classcGroup.html#ac0b8279834b59139afeb562be03937de">GetCentralizerEl</a>(ElementType &amp;element, GrpVec &amp;grp_el)<span class="keyword">const</span></div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">typedef</span> <span class="keyword">typename</span> std::vector&lt;ElementType&gt;::iterator Elem_Iter ;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        GrpVec centralizer;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">for</span>(Elem_Iter iter = grp_el.begin(); iter != grp_el.end(); iter++)</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        {</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            <span class="keywordflow">if</span>(iter-&gt;CommutesWith(element))</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                centralizer.push_back(*iter);</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        }</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">return</span> centralizer;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    };</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="classcGroup.html#aa0946d645c3ae06c56dc16f13a9f7ef2">  100</a></span>&#160;    std::vector&lt;ElementType&gt; <a class="code" href="classcGroup.html#aa0946d645c3ae06c56dc16f13a9f7ef2">GetCenterEl</a>(GrpVec &amp;grp_el)<span class="keyword">const</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        GrpVec subgrp_el;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        subgrp_el.push_back(grp_el[0]);</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        GrpVec rem_el = grp_el;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="comment">//std::remove(rem_el.begin(), rem_el.end(), grp_el[0]);</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        rem_el.erase(rem_el.begin());</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">while</span>(!rem_el.empty())</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        {</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <span class="keywordtype">bool</span> commutes = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            <span class="keywordflow">for</span>(<span class="keyword">typename</span> GrpVec::iterator it = grp_el.begin(); it != grp_el.end(); it++)</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                <span class="keywordflow">if</span>(!rem_el.begin()-&gt;CommutesWith(*it))</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                {</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                    commutes = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                    <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                }</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            }</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            <span class="keywordflow">if</span>(commutes)</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            {</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                subgrp_el.push_back(*rem_el.begin());</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            }</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            rem_el.erase(rem_el.begin());</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        }</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">return</span> subgrp_el;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    };</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="classcGroup.html#a442a90478046593d38f5d131eb22b9a9">  131</a></span>&#160;    std::vector&lt;ElementType&gt; <a class="code" href="classcGroup.html#a442a90478046593d38f5d131eb22b9a9">GetNormalizerEl</a>(<span class="keyword">const</span> <a class="code" href="classcSubgroup.html">cSubgroup&lt;SelfType&gt;</a> &amp;_subgrp)<span class="keyword">const</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        GrpVec normalizer_el;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        normalizer_el.push_back(RepType::GetIdentity());</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        GrpVec grp_el = this-&gt;GetElementsDimino();</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        GrpVec rem_el = grp_el;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keyword">const</span> GrpVec _subgrp_el = _subgrp.GetElementsDimino();</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="comment">//remove identity</span></div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        rem_el = GrpVec(rem_el.begin(),</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                        std::remove(rem_el.begin(), rem_el.end(), RepType::GetIdentity()));</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        <span class="keywordflow">while</span>(!rem_el.empty())</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        {</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            <span class="keywordflow">if</span>(rem_el.begin()-&gt;IsNormalizer(_subgrp_el))</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            {</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                normalizer_el.push_back(*rem_el.begin());</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                <a class="code" href="classcGroup.html">SelfType</a> H(normalizer_el);</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                std_ex::set_difference(rem_el, H.GetElementsNaive());</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;            }</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            <span class="keywordflow">else</span></div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            {</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                rem_el.erase(rem_el.begin());</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        <span class="keywordflow">return</span> normalizer_el;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    };</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;};</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="keyword">typedef</span> <a class="code" href="classcGroup.html">cGroup&lt;SymmGrpElem, cSymmetricRep&gt;</a> <a class="code" href="classcGroup.html">SymmGrp</a>;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="keyword">typedef</span> std::vector&lt; cGroupElem&lt;cPermElem, Multiplication&gt; &gt;  SymmGrpGenerators;</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;<span class="comment">//************concrete groups table**************//</span></div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="keyword">typedef</span> <a class="code" href="classcGroup.html">cGroup&lt; cGroupElem&lt; cPermElem, Multiplication &gt;</a>, <a class="code" href="classcSymmetricRep.html">cSymmetricRep</a> &gt; <a class="code" href="classcGroup.html">S3</a>;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="classcGroup_html"><div class="ttname"><a href="classcGroup.html">cGroup</a></div><div class="ttdef"><b>Definition:</b> group.h:19</div></div>
<div class="ttc" id="classcSubgroup_html"><div class="ttname"><a href="classcSubgroup.html">cSubgroup</a></div><div class="ttdef"><b>Definition:</b> subgroup.h:5</div></div>
<div class="ttc" id="classcGroup_html_ac0b8279834b59139afeb562be03937de"><div class="ttname"><a href="classcGroup.html#ac0b8279834b59139afeb562be03937de">cGroup::GetCentralizerEl</a></div><div class="ttdeci">std::vector&lt; ElementType &gt; GetCentralizerEl(ElementType &amp;element, GrpVec &amp;grp_el) const </div><div class="ttdef"><b>Definition:</b> group.h:85</div></div>
<div class="ttc" id="classcGroup_html_acb69bf5f56805920d414a80ac5e54f36"><div class="ttname"><a href="classcGroup.html#acb69bf5f56805920d414a80ac5e54f36">cGroup::isSoluble</a></div><div class="ttdeci">bool isSoluble() const </div><div class="ttdef"><b>Definition:</b> group.h:46</div></div>
<div class="ttc" id="classcGroup_html_aa0946d645c3ae06c56dc16f13a9f7ef2"><div class="ttname"><a href="classcGroup.html#aa0946d645c3ae06c56dc16f13a9f7ef2">cGroup::GetCenterEl</a></div><div class="ttdeci">std::vector&lt; ElementType &gt; GetCenterEl(GrpVec &amp;grp_el) const </div><div class="ttdef"><b>Definition:</b> group.h:100</div></div>
<div class="ttc" id="classcGroup_html_a5177b0cd3b5a1c6d1dc7673c28fa14f0"><div class="ttname"><a href="classcGroup.html#a5177b0cd3b5a1c6d1dc7673c28fa14f0">cGroup::GetCentralizer</a></div><div class="ttdeci">cSubgroup&lt; SelfType &gt; GetCentralizer(const cSubgroup&lt; SelfType &gt; &amp;_subgrp, GrpVec &amp;grp_el) const </div><div class="ttdef"><b>Definition:</b> group.h:54</div></div>
<div class="ttc" id="classcGroup_html_a442a90478046593d38f5d131eb22b9a9"><div class="ttname"><a href="classcGroup.html#a442a90478046593d38f5d131eb22b9a9">cGroup::GetNormalizerEl</a></div><div class="ttdeci">std::vector&lt; ElementType &gt; GetNormalizerEl(const cSubgroup&lt; SelfType &gt; &amp;_subgrp) const </div><div class="ttdef"><b>Definition:</b> group.h:131</div></div>
<div class="ttc" id="classcGroup_html_a1bcc2cdb6db5251b23cd099b25ffa057"><div class="ttname"><a href="classcGroup.html#a1bcc2cdb6db5251b23cd099b25ffa057">cGroup::GetNormalizer</a></div><div class="ttdeci">cSubgroup&lt; SelfType &gt; GetNormalizer(const cSubgroup&lt; SelfType &gt; &amp;_subgrp) const </div><div class="ttdef"><b>Definition:</b> group.h:75</div></div>
<div class="ttc" id="classcGenRep_html"><div class="ttname"><a href="classcGenRep.html">cGenRep</a></div><div class="ttdef"><b>Definition:</b> gen_rep.h:15</div></div>
<div class="ttc" id="classcSymmetricRep_html"><div class="ttname"><a href="classcSymmetricRep.html">cSymmetricRep</a></div><div class="ttdef"><b>Definition:</b> symmetric_rep.h:20</div></div>
<div class="ttc" id="classcGroup_html_ade523d25a78970fffa70f17d68643d15"><div class="ttname"><a href="classcGroup.html#ade523d25a78970fffa70f17d68643d15">cGroup::GetCenter</a></div><div class="ttdeci">cSubgroup&lt; SelfType &gt; GetCenter(GrpVec &amp;grp_el) const </div><div class="ttdef"><b>Definition:</b> group.h:65</div></div>
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